Andreyev won the match in straight sets (6:2, 6:2, 6:2). The result puts Russia 1-0 ahead in the five match series.
Speaking at a press conference after the match, the Russian said that Hass had "played under-par, and that it was obvious that clay was not his favorite surface."
World number four Nikolai Davydenko was due to face Germany's number two, Philipp Kohlschreiber, in the second singles rubber later Friday.
The third rubber sees the Russian pair Dmitry Tursunov/Mikhail Yuzhny taking on Germany's Philipp Petzschner/Alexander Waske in the doubles Saturday.
On Sunday Davydenko and Andreyev swap single opponents.
The Davis Cup final will be held on November 30 through December 2. The other semifinal is between Sweden and the U.S.
This will be the ninth Davis Cup encounter between the two countries, with the Russian team enjoying a psychological advantage over Germany with an overall 5-3 lead.
Russia is the defending Davis Cup champion. The 2006 Davis Cup Champion's title was Russia's second in five years, but it was its first on home soil. In 2002, the Russian team shocked French fans in Paris by winning the competition, coming back from 1-2 down after the first two days of competition.
